2.032 Dynamics
Fall 2005
Instructor: Thomas Peacock
TA: Amit Surana
Lecture: MW1-2.30 (3-370)
Information:
Course Outline
1. Introduction
Course organization, scope of course. Review of momentum principles for system of particles; energy functions.
2. Kinematics of 3-D motion of rigid bodies
Review of plane motion. Finite and infinitessimal rotations in 3-D, angular velocity; Euler angles; kinetic energy of a rigid body; the inertia tensor.
3. Momentum principles for rigid bodies
Angular momentum about a general point. Examples.
4. Variational formulation
Holonomic and non-holonomic constraints; state functions and generalized variables; Hamilton's principle and Lagrange's equations. Examples
5. Stability of Motion
Equations governing small perturbations to steady motions. Introduction to bifurcation analysis and the phase plane. Examples.
6. Vibrations
Review of normal modes and natural frequencies, forced response; damping effects; phase-plane analysis of finite-amplitude oscillations. Vibrations of some continuous systems (beams and strings). Wave propagation.
Textbooks
There is one required textbook, which is on reserve in Barker Engineering Library
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H. Baruh, Analytical Dynamics, McGraw-Hill, New York, 1999
Other textbooks that may be of help are
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J.H. Ginsberg, Advanced Engineering Dynamics, 2nd Edition, Cambridge University Press, 1998
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S.H. Crandall, D.C. Karnopp, E.F. Kurtz, Jr. and D.C. Pridmore-Brown, Dynamics of Mechanical and Electromechanical Systems, Kreiger, 1982
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F.C. Moon, Applied Dynamics, Wiley, New York, 1998
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D.T. Greenwood, Classical Dynamics, Dover Publications, New York, 1997
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D.T. Greenwood, Principles of Dynamics, Prentice-Hall, 1988
Examination
There will be two in-class exams. They are scheduled for
Monday, Oct 24 and Wednesday, Dec 7
There will be no final exam.
Grading (percentage of total grade)
|
Homework |
20% |
|
Exams (2) |
80% |
Announcements
No announcements
